Answer:
250.50 - 35m = 300 - 45.25m
Step-by-step explanation:
Given :
International Business School :
Initial = 250.50
Spending per month = $35
Future Agricultural leaders club :
Initial = $300
Spending per month = 45.25
The number of months, m itvwi take for them to have the same amount of money :
Total spending after m months for both :
Initial - spending per month * number of months
International Business School :
250.50 - 35m - - - (1)
Future Agricultural Leaders Club :
300 - 45.25m - - - - - 2)
Equate both : (1) and (2)
250.50 - 35m = 300 - 45.25m
Answer:
250.50 - 35m = 300 - 45.25m
( option B )
What is the measure of angle 4 if angle 1 = 76 degrees, angle 2 = 27 degrees and angle 3 = 17 degrees
Answer:
Step-by-step explanation:
∠1 + ∠2 + ∠3 + a = 360 {Sum of all angles of quadrilateral}
76 + 27 + 17 + a = 360
120 + a = 360
a = 360 -120
a = 240°
a + ∠4 = 360
240 + ∠4 = 360
∠4 = 360 - 240
∠4 = 120°
Write the equation of the graph below.
Answer:
-x²+8x-15
Step-by-step explanation:
There are two solutions: 3 and 5
First, let's write the equation in this form (pay attention, the parabola here is going up so it won't be like your graph):
(x-3)(x-5)
For resolve our problem, let's re-write it with a minus before:
-(x-3)(x-5)
You can also expand it and the result will be like this:
-x²+8x-15
using quadratic equation
Answer:
Step-by-step explanation:
[tex]\frac{x+6}{x+7}-\frac{x+1}{x+2}=\frac{(x+6)*(x+2)}{(x+7)*(x+2)}-\frac{(x+1)(x+7)}{(x+2)(x+7)}\\\\[/tex]
USE FOIL method
(x +6)(x + 2) = x*x + x*2 +6*x +2*6
=x² + 2x + 6x + 12 {Combine like terms}
= x² + 8x + 12
(x+ 7)(x + 2) = x*x+ x*2 +7*x + 7*2
= x² +2x+ 7x + 14
= x² + 9x + 14
(x+1)*(x +7) = x*x + x *7 + 1*x + 1*7
=x² + 7x +x + 7
=x² + 8x + 7
[tex]\frac{x+6}{x+7}-\frac{x+1}{x+2}=\frac{(x+6)*(x+2)}{(x+7)*(x+2)}-\frac{(x+1)(x+7)}{(x+2)(x+7)}\\\\\\ =\frac{(x+6)*(x+2) - [(x+1)(x+7)]}{(x+2)(x+7)}\\\\\\= \frac{x^{2}+8x+12 -[x^{2}+8x+7]}{x^{2}+9x+14}\\\\\\=\frac{x^{2}+8x+12-x^{2}-8x-7}{x^{2}+9x+14}\\\\=\frac{5}{x^{2}+9x+14}\\\\\\\\\frac{x+6}{x+7}-\frac{x+1}{x+2}=\frac{1}{3x+1}\\\\\frac{5}{x^{2}+9x+14}=\frac{1}{3x+1}\\\\[/tex]
Cross multiply,
5*(3x+1) = x² + 9x + 14
5*3x + 5*1 = x² + 9x + 14
15x + 5 = x² + 9x + 14
x² + 9x + 14 - 5x - 5 = 0
x² + 9x - 5x + 14 - 5 = 0
Combine like terms
x² + 4x + 9 = 0
a = 1 ; b = 4 ; c = 9
D = b² - 4ac
= 4² - 4*1*9
= 16 - 36
= -20
= 20i² {i² = -1}
√D = √20i² = [tex]\sqrt{2*2*5*i*i}=2i\sqrt{5}[/tex]
[tex]x = \frac{-b+\sqrt{D}}{2a} \ or \frac{-b-\sqrt{D}}{2a}\\\\\\x= \frac{-4+2i\sqrt{5}}{2} \ or \frac{-4-2i\sqrt{5}}{2}\\\\x = \frac{2*(-2+i\sqrt{5})}{2} \ or \frac{2*(-2-i\sqrt{5}}{2}\\\\x = -2 +i\sqrt{5} \ or -2-i\sqrt{5}[/tex]
Solve each proportion.
6/n-6 = 8/n
* please show the work too!
9514 1404 393
Answer:
n = 24
Step-by-step explanation:
Multiply the given equation by the product of denominators. Then subtract 6n and go from there.
[tex]\dfrac{6}{n-6}=\dfrac{8}{n}\\\\6n=8(n-6)\qquad\text{rid of fractions}\\\\0=2n-48\qquad\text{subtract 6n, simplify}\\\\0=n-24\qquad\text{divide by 2}\\\\\boxed{24=n}\qquad\text{add 24}[/tex]
_____
Alternate solution
Any proportion can be written 4 ways. If we write this one "sideways," we have ...
6/8 = (n -6)/n
1 -1/4 = 1 -6/n . . . . . expand in parallel fashion
6/n = 1/4 . . . . . . . . subtract 1, multiply by -1
n = 24 . . . . . . . . . multiply by 4n
__
Another alternate solution (can be done mentally)
The above "sideways" proportion can be reduced to ...
3/4 = (n -6)/n
The difference between values on the left is 1 unit. On the right, the difference between values is 6. (The numerator is 6 less than the denominator.) The denominator on the left (4) is 4 times the difference, so the denominator on the right (n) will likewise be 4 times the difference: n = 4·6 = 24. Check: 3/4 = 18/24.
what is the solution to this system of linear equations 2x +y =1 3x -y= -6
Answer:
x= -1 y=3
Step-by-step explanation:
Answer:
x = -1
y = 3
Step-by-step explanation:
2x +y =1 3x -y= -6
Add the two equations together to eliminate y
2x +y =1
3x -y= -6
------------------
5x = -5
Divide by 5
5x/5 = -5/5
x = -1
2x+y = 1
2(-1) +y = 1
-2 +y =1
Add 2 to each side
y = 1+2
y =3
Parallel lines 1, m, and n are shown.
If line I reflected over the x-axis and then translated up 2
units, which line represents the resulting transformation?
Translation 5 units up is correct
Solve for x. Round to the nearest tenth, if necessary.
Answer:
Step-by-step explanation:
take 60 degree as reference angle
using cos rule
cos 60=adjacent/hypotenuse
1/2=80/x(do cross multiplication)
80*2=x
160=x
Answer:
x = 160
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos60° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{CD}{CE}[/tex] = [tex]\frac{80}{x}[/tex] ( multiply both sides by x )
x × cos60° = 80 ( divide both sides by cos60° )
x = [tex]\frac{80}{cos60}[/tex] = 160
Does anyone know how to solve this?
Answer:
Perimeter = AB + AC + BC = 26.55 units
Step-by-step explanation:
The perimeter of a triangle is the sum of lengths of all sides.
Here we have a right triangle, right-angled at C
angle B = 46°
AB = 11
We continue to calculate
AC = (11)sin(46°) = 7.91
BC = (11)cos(46°) = 7.64
Perimeter = AB + AC + BC = 26.55 units
A lawn sprinkler waters Kara's yard in a circular motion. The
lawn sprinkler can water grass within a 7 foot radius. What is
the area of the yard that is watered by the sprinkler?
A. 43.98 ft?
B. 87.96 ft?
C. 153.94 ft?
D. 615.75 ft?
А
B
Ο Ο Ο Ο
Active Windo
Points A(2,2) and B(7,14) are two vertices of an equilateral
triangle. What is the perimeter of the triangle?
Answer:
poi nts
Step-by-step explanation:
7
A ball is dropped from a height of 20 feet. The ball rebounds to 80% of its previous height. Let n represent
the number of bounces of the ball.
a. h=20(.20)^n
b. h=20(.80)n
c. h=20(.80)^n
d. h=20(1.80)^n
Answer:
[tex]H=20(0.8)^{n}[/tex]
Step-by-step explanation:
So, lets just go over this step by step and make sense of it.
20 clearly must be what we start with, and as you see in your answers, all of them have that as the number you multiply the parethese by.
Its what next that we dont know about.
We know that the ball rebounds 80% of its previous height.
It for sure cannot be a or d because a would mean that it would only rebound 20% of its height, and d would mean that it rebound 180% of its height.
Its now between b and c.
Lets just think about it.
Pull out your calculator or pull it up on your electronic. Multiply 10 by 0.9. This will get you 9. Multiply 9 again by 0.9, and youll get 8.1.
What did we actually do there? We did 10*0.9^2
Pull out your calculator again and try 10* 0.9^2. Youll see that 0.9 squared is 0.81. This times 10 is 8.1, and that is exactly what you got before.
Understanding this, it is clear that we must use an exponent to fidn future values.
In answer b, it shows that you can just multiply by n.
In answer c however, it uses n as an exponent, which is the correct thing to do.
So c is your answer.
The actual formula for this is: [tex]first_.term(change)^t^e^r^m ^[/tex]
The first term in this case is the first height, which is 20. The change is a rebound of 80%(0.8).
The term is just n, but in most problems n is time.
Hope this helps!
Plot the four points on the number line below
-1/3 1 2/3 2/3 1 1/3
Answer:
Step-by-step explanation:
c. What is the area of a square with side length: 3 cm? 7 cm? cm?
Answer:
6 cm. and 14 cm.
Step-by-step explanation:
3x2=6
7x2=14
Please help last two problems
Answer:
x-5
x-2
Step-by-step explanation:
Questions 1:
√(x²-10x+25)
x²-10x+25= (x-5)²
√(x-5)²= x-5
question 2:
x²-4x+4= (x-2)²
√(x-2)²= x-2
You have 90 degree triangle and the adjacent is 24, the opposite is 32, and the hypotenuse is 40. What is the value of tan W rounded to the nearest hundredth, if necessary.
Answer:
sorry need points Step-by-step explanation:
sorry need points sorry need points
Pls help meeeeeeeeeeeee
Answer:
A = 8
B = 6
C = 4
D = 7
Top = 29
Side = 20
Step-by-step explanation:
To get A on the bottom side row you divide 32 by 4 and get 8.
To get D, on the first side row, subtract A, 8, now it's 21, 21 divided by 3 is 7.
To get B, on the first top row, subtract A and D, now divide by 2 and you get 6.
To get C, on the third side row, subtract B and divide by 2 and you get 4.
Solve the equation −7t−1=20
Answer:
hello
Step-by-step explanation:
-7t-1=20
-7t=20+1
-7t=21
t=21÷(-7)
t=-3
-7×(-3)-1=20
have a great dayyyy
Cindy took her five grandchildren to the movies, where she offered to buy all of them popcorn and candy. A popcorn bag costs $4.00, and a box of candy costs $2.50. Cindy ended up spending $35.00 and purchasing one more box of candy than bags of popcorn.
Use a system of equations to model the situation above, and determine which of the following is a possible description of Cindy's purchase.
Answer:
She buys 5 boxes of popcorn and 6 boxes of candy
Step-by-step explanation:
this is because 5 times 4.00 is 20$ and 2.50 times 6 is 15$
15 + 20 is 35
so your answer is 5 boxes of popcorn and 6 boxes of candy
hope this helped :D
Answer:
B
Step-by-step explanation:
If she spent 35$ and got 1 more candy and popcorn that only leaves a single option
hihihihihihihihihihihi
Answer:
hiiiiiiiiiiiiiiiiiiiiiiiiiii
Which equation represents a line which is perpendicular to the line y=-\frac{1}{8}x+3
Answer:
An equation with -8 as the slope.
Step-by-step explanation:
I can't see your choices but you need to look for an equation in which the slope is -8. A line with an opposite reciprocal slope is needed in order to be perpendicular to the line y = 1/8x + 3. The opposite reciprocal of 1/8 is -8.
2. Jasmine ran 22 kilometers. One mile is approximately equal to 1.6 kilometers. Which
measurement is closest to the number of miles Jasmine ran?
a 13.75 mil
b. 35.2 mi
c. 23.6 mi
d. 22 mi
step one it says Jasmine ran 22 km is approximately equal to 1.6 km in which measurement is closest to the number of miles Jasmine ran the correct answer is C
Which expression is equivalent to this expression?
2² x 36
34
Answer:
2³x3²
Step-by-step explanation:
(2³x3⁶)/3⁴
2³x3⁶^-4
= 2³x3²
If the equation is solved, which is true?
A
If -13m = -12, then m = = 0.9
B
If -13m = -12, then m = -0.9
If -13m = -12, then m
1.08333...
D
If -13m = -12, then m = = 25
Answer:
A
Step-by-step explanation:
-13m = -12
m = 12/13 = 0.92
Jordana drew the function below. Which statement correctly explains whether or not her function is linear? On a coordinate plane, a parabola opens up.
Answer:
D. It is not linear because it does not have a constant rate of change.
Step-by-step explanation:
Given
See attachment for graph
Required
Linear or not? and why
Linear functions have constant slopes (i.e. constant rates of change)
The attached function is a curve, and curves do not have constant slope.
Hence, we can conclude that the function is not linear because it does not have a constant slope.
!!!NO LINKS!!! please help!!
Answer:
8 x 8 = 64
64 x 6 = 384 ft^2 is your answer.
Answer:
384 Sq ft
Step-by-step explanation:
multipliy 8 by 8 to get the area of one side. then because it is a cube, and all the side lengths are the same, you can just multipliy the area of one face by the amount of faces total.
8×8=64
64×6=384
384 ft²
or
384 Sq ft
WILL GIVE BRAINLIEST!
Directions: Simplify each term by factoring.
1. 3rs
2. 12xy
3. 5x2
4. 36x2
5. 25x2
6. 30x2
7. 5x3
8. 24y3
9. 9xy
10. 12x4
Answer:
1234567890-=
Step-by-step explanation:1234567890-
The question is.. "The expression 5(3r - 10) means the product of 5 and the difference of three times r minus 10. If r = 4, the value of the expression is [?] This is 6th grade math and im kinda stuck here
Answer:
10
Step-by-step explanation:
5(3r - 10)
Let r = 4
5(3*4 - 10)
5( 12 - 10)
5 (2)
10
Answer:
10
Step-by-step explanation:
5(3r-10)
5(3(4)-10)
so forget the 5 and solve inside first
3*4= 12
12-10= 2
now bring the 5 back and multiply
5*2= 10
A box contains colored pencils. The probability of drawing 2 green pencils at random without replacement is 11/295, and the probability of drawing 1 green pencil is 1/5. What is the probability of drawing a second green pencil given that the first pencil drawn is green?
Answer:
it still 11/295
Step-by-step explanation:
which is a negatively skewed distinction?
Answer:
c
Step-by-step explanation:
sjrbdjcktwnxjyjebssb3jsixjtebhwwu
4+3x<=13 on a number line
Answer:
The question seems incomplete, but this statement would be true for all x below 3 (you can put any number less than 3 in it and get a true statement)